Some properties of convolutions of Pascal and Erlang random variables

DOI10.1016/j.spl.2008.02.017zbMath1146.62009OpenAlexW2076625152MaRDI QIDQ951182

B. E. Eshmatov

Publication date: 30 October 2008

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.02.017

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Characterization and structure theory of statistical distributions (62E10)

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Power law approximations for radioactive decay chains ⋮ Risk aggregation with FGM copulas ⋮ Error analysis of large-time approximations for decay chains ⋮ SOME UNIFIED RESULTS ON COMPARING LINEAR COMBINATIONS OF INDEPENDENT GAMMA RANDOM VARIABLES ⋮ Ordering properties of convolutions of heterogeneous Erlang and Pascal random variables ⋮ Some new results on convolutions of heterogeneous gamma random variables ⋮ Stochastic comparisons for allocations of policy limits and deductibles with applications ⋮ Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments

Cites Work

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• On the convolution of the negative binomial random variables
• Schur properties of convolutions of exponential and geometric random variables
• Hazard rate ordering of order statistics and systems
• Limiting behavior of mixtures of discrete lifetime distributions
• Inequalities: theory of majorization and its applications

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